According to most if the maraje'e a woman can neither become a head of a state nor a judge. But this does not mean that a woman is restricted from every kind of political activity.
In Islam, both men an women have been created for a special purpose. Both have been given special tasks to perform.
As the Quran says:
It is not for the Sun to over take the Moon, nor does the night outstrip the day. They float each in a heaven. (Qur’an 36: 40)
The basic condition for the happiness of both man and woman, and, in fact, for the whole of human society, is that each of the two sexes should continue to move in their own orbit.
(The rights of women in Islam,shahid Murtaza Mutahhari)
Therefore islam has given a woman all the necessary rights in different aspects of her life.
If we look back into the history of islam, we can find numerous examples of such women who together with fulfilling their household duties, were also present in different social and political fields of that time like Hazrate Khadija (SA), Hazrate Zahra (SA) ...
The islamic revolution of Iran is the best example where women's efforts and struggle are vividly seen.